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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 56143-3000 = X+0.0687X+（56143-X）*0.0687 .
Question type: Equation
Solution:Original question:
| 56143 | − | 3000 | = | X | + | 687 10000 | X | + | ( | 56143 | − | X | ) | × | 687 10000 |
| Left side of the equation = | 53143 |
| 53143 | = | X | + | 687 10000 | X | + | ( | 56143 | − | X | ) | × | 687 10000 |
| Right side of the equation = | 10687 10000 | X | + | ( | 56143 | − | X | ) | × | 687 10000 |
| 53143 | = | 10687 10000 | X | + | ( | 56143 | − | X | ) | × | 687 10000 |
| Right side of the equation = | 10687 10000 | X | + | 56143 | × | 687 10000 | − | X | × | 687 10000 |
| = | 10687 10000 | X | + | 38570241 10000 | − | X | × | 687 10000 |
| = | 1 | X | + | 38570241 10000 |
| 53143 | = | 1 | X | + | 38570241 10000 |
Transposition :
| - | 1 | X | = | 38570241 10000 | − | 53143 |
| - | X | = | 38570241 10000 | − | 53143 |
Combine the items on the right of the equation:
| - | X | = | - | 492859759 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
492859759 10000 | = | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| X | = | 492859759 10000 |
This is the solution of the equation.